Hi there,
I think what you did was perfect! I agree it was a good first session
It’s too soon to know who will back down, so for now I think working on building a calm association is great. Short time goals are also great.
I would do a couple more sessions exactly the same way. Maybe aim for 20 min, but nothing too much longer at first.
After that what you can do is pet pet pet for a while, then pause for a few seconds or so and see what happens. If the seem tense, go back to petting. Then break for a bit longer, and see. This will help you safely see what their behavior will be like. Sometimes you can find an “itchy spot” on their head and ears that might trigger grooming when you stop petting. You might also see one move away, one start nipping, one try to mount, etc.
In my experience, whenever I’ve tried to “let them sort it out” too early on, things escalate very quickly and you can rapidly get into a cycle of aggression. Once they are a little more calm around each other, little nips and chases don’t seem to escalate to full on scuffling as easily and they can more safely have dominance displays that don’t lead to fights or hard bites.
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The answers provided in this discussion are for general guideline purposes only. The information is not intended to diagnose or treat your pet. Seek the advice of your veterinarian or a qualified behaviorist.